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Finding the Third Proportional to 183,519 and 271,867.50

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Solution

The third proportional to 183,519 and 271,867.50 is: 402,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,519 : 271,867.50 = 271,867.50 : x
  2. Step 2: Convert to fraction form
    183,519/271,867.50 = 271,867.50/x
  3. Step 3: Cross multiply
    183,519x = 271,867.50 × 271,867.50
  4. Step 4: Simplify right side
    183,519x = 73,911,937,556.25
  5. Step 5: Solve for x
    x = 73,911,937,556.25/183,519
  6. Step 6: Final answer
    x = 402,748.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.